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Ivan
3 years ago
6

1400 dollars is placed in an account with an annual interest rate of 7.25%. To the nearest tenth of a year, how long will it tak

e for the account value to reach 4600 dollars?
Mathematics
1 answer:
Vlad [161]3 years ago
6 0

Answer:17

Step-by-step explanation:

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Consider the vitamin capsule below.
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Answer:

We have a cylinder and two semispheres.

The volume of a cylinder is equal to:

Vc =h*pi*r^2

where h is the height, r is the radius, and pi = 3.14

We know that the diameter is d = 8.4 mm, and the radius is half of that:

r = 8.4mm/2 = 4.2mm

Then the volume of the cylinder is:

Vc = 15.2mm*3.14*(4.2mm)^2 = 841.9 mm^3

The volume of a sphere is:

Vs = (3/4)*pi*r^3

The radius of the sphere is the same as the radius of the cylinder, and for a semisphere, we have half of the volume written above,

Vss = (3/8)*3.14*(4.2mm)^2 = 87.2mm^3

and we have two of those, so the total volume is:

Vt = 841.9 mm^3 + 2*87.2mm^3 = 1016.3 mm^3

The surface area of the figure is equal to the curved surface of the cylinder plus the surface of the two semispheres.

The curved surface of the cylinder is:

Sc = 2*pi*r*h = 2*3.14*4.2mm*15.2mm  = 400.9 mm^2

The surface of a sphere is:

Ss = 4*pi*r^2

and for each semisphere, we can find the surface by dividing the previous equation by two, but we have two semispheres, so we can jump a step and think the two semispheres as only one sphere.

Ss = 4*3.14*(4.2mm)^2 = 221.6mm^2

The total surface is St = 221.6mm^2 + 400.9 mm^2 = 622.5 mm^2

7 0
3 years ago
The scale of a model train is 1 inch to 13.5 feet. One of the cars of the model train is 5 inches long. What is the length, in f
VMariaS [17]
1 inch = 13.5 feet

5 inches = 5 * 13.5 = 67.5 feet
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3 years ago
What is 1000×1000<br><br><br> PLEASE HELP ME
ella [17]

Answer: 1000000

Step-by-step explanation:

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lara [203]

Answer:

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Step-by-step explanation:

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2 years ago
The distance between -18 and 15 is equal to a. 18-15 b. -18-15 c. 15-18 d. 15-(-18)
Feliz [49]

Answer:

d. 15-(-18)

Step-by-step explanation:

Take the second point and subtract the first point

15 - (-18)

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2 years ago
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